{
  "id": "1101.5459",
  "version": "v1",
  "published": "2011-01-28T05:57:33.000Z",
  "updated": "2011-01-28T05:57:33.000Z",
  "title": "Cesaro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups",
  "authors": [
    "Alexander Bufetov",
    "Mikhail Khristoforov",
    "Alexey Klimenko"
  ],
  "comment": "32 pages",
  "journal": "International Mathematics Research Notices. 2012. No. 21. P. 4797-4829",
  "categories": [
    "math.DS",
    "math.GR",
    "math.OA"
  ],
  "abstract": "Cesaro convergence of spherical averages is proven for measure-preserving actions of Markov semigroups and groups. Convergence in the mean is established for functions in $L^p$, $1\\le p<\\infty$, and pointwise convergence for functions in $L^\\infty$. In particular, for measure-preserving actions of word hyperbolic groups (in the sense of Gromov) we obtain Cesaro convergence of spherical averages with respect to any symmetric set of generators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-28T05:57:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30",
      "37A15",
      "47A35",
      "28D15",
      "22F10"
    ],
    "keywords": [
      "cesaro convergence",
      "spherical averages",
      "measure-preserving actions",
      "markov semigroups",
      "word hyperbolic groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.5459B"
    }
  }
}